10763461440 has 336 divisors, whose sum is σ = 38815987392. Its totient is φ = 2838675456.

The previous prime is 10763461439. The next prime is 10763461459. The reversal of 10763461440 is 4416436701.

10763461440 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 34 + 614 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10763461395 and 10763461404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7542007 + ... + 7543433.

It is an arithmetic number, because the mean of its divisors is an integer number (115523772).

Almost surely, 2^10763461440 is an apocalyptic number.

10763461440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10763461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19407993696).

10763461440 is an abundant number, since it is smaller than the sum of its proper divisors (28052525952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10763461440 is an equidigital number, since it uses as much as digits as its factorization.

10763461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 10763461440 in words is "ten billion, seven hundred sixty-three million, four hundred sixty-one thousand, four hundred forty".